212100120106 has 16 divisors (see below), whose sum is σ = 364613028480. Its totient is φ = 90646845840.

The previous prime is 212100120097. The next prime is 212100120139. The reversal of 212100120106 is 601021001212.

212100120106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212100120106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21095265 + ... + 21105316.

It is an arithmetic number, because the mean of its divisors is an integer number (22788314280).

Almost surely, 2^212100120106 is an apocalyptic number.

212100120106 is a deficient number, since it is larger than the sum of its proper divisors (152512908374).

212100120106 is a wasteful number, since it uses less digits than its factorization.

212100120106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42200949.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 212100120106 its reverse (601021001212), we get a palindrome (813121121318).

The spelling of 212100120106 in words is "two hundred twelve billion, one hundred million, one hundred twenty thousand, one hundred six".